Upgrading to level 2 (Dr Brown nipple)

Jamy

Baby girl just turned 2 months a week ago. She can take up to 1 hour to eat 4oz because she tends to fall asleep while feeding. Today I noticed her getting frustrated while eating and I’m thinking that the milk flow is just too slow for her now. Considering updating to a level 2 but the description states for 3 months and up.

Is it too early to update to a level 2? At what age did other parents update the nipple flow size?

Thank you in advance!